Question

Для функций у=0,5х∧2. найдите приращение Δу, если Х0=1, Δх=0,8

Answer 1

$\displaystyle \Delta y=y(x_0+\Delta x)-y(x_0)\\\\y(x_0)=0.5*1^2=0.5\\\\y(x_0+\Delta x)=0.5*(1+0.8)^2=0.5*1.8^2=0.5*3.24=1.62\\\\\Delta y=1.62-0.5=1.12$